Remove "INCLUDE_NOT_READY_PROVIDERS" from publishing to s3 (#51765)

The workflow to publish to S3 had for some reason
INCLUDE_NOT_READY_PROVIDERS set to true which caused it to fail.

Author: potiuk

.github/workflows/publish-docs-to-s3.yml

@@ -117,7 +117,6 @@ jobs:
       GITHUB_REPOSITORY: ${{ github.repository }}
       GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       GITHUB_USERNAME: ${{ github.actor }}
-      INCLUDE_NOT_READY_PROVIDERS: "true"
       INCLUDE_SUCCESS_OUTPUTS: false
       PYTHON_MAJOR_MINOR_VERSION: 3.9
       VERBOSE: "true"
@@ -187,7 +186,6 @@ jobs:
       GITHUB_REPOSITORY: ${{ github.repository }}
       GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       GITHUB_USERNAME: ${{ github.actor }}
-      INCLUDE_NOT_READY_PROVIDERS: "true"
       INCLUDE_SUCCESS_OUTPUTS: false
       PYTHON_MAJOR_MINOR_VERSION: 3.9
       VERBOSE: "true"